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Select the Best Translation into Predicate Logic, Using the Following

Question 29

Multiple Choice

select the best translation into predicate logic, using the following translation key:
a: one
b: two
c: three
f(x) : the successor of x
g(x,y) : the sum of x and y
Nx: x is a number
Dxy: x is divisible by y
Gxy: x is greater than y
-If a number is divisible by three, then the sum of its successor with the successor of one is also divisible by three.


A) Dcc ⊃ g(f(x) ,f(a) ) c
B) Dcc ⊃ Dg(f(c) ) f(a) c
C) (∀x) {Nx ⊃ [Dcx ⊃ Dg(f(x) ,f(a) ) c}
D) (∀x) {Nx ⊃ [Dxc ⊃ Dg(f(a) ,f(a) ) c}
E) (∀x) [(Nx • Dxc) ⊃ Dg(f(x) ,f(a) ) c]

Correct Answer:

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